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Simplifying x + -1x(3x + -5) = c + -2(x2 + x) + -1x2 + -14 Reorder the terms: x + -1x(-5 + 3x) = c + -2(x2 + x) + -1x2 + -14 x + (-5 * -1x + 3x * -1x) = c + -2(x2 + x) + -1x2 + -14 x + (5x + -3x2) = c + -2(x2 + x) + -1x2 + -14 Combine like terms: x + 5x = 6x 6x + -3x2 = c + -2(x2 + x) + -1x2 + -14 Reorder the terms: 6x + -3x2 = c + -2(x + x2) + -1x2 + -14 6x + -3x2 = c + (x * -2 + x2 * -2) + -1x2 + -14 6x + -3x2 = c + (-2x + -2x2) + -1x2 + -14 Reorder the terms: 6x + -3x2 = -14 + c + -2x + -2x2 + -1x2 Combine like terms: -2x2 + -1x2 = -3x2 6x + -3x2 = -14 + c + -2x + -3x2 Add '3x2' to each side of the equation. 6x + -3x2 + 3x2 = -14 + c + -2x + -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 6x + 0 = -14 + c + -2x + -3x2 + 3x2 6x = -14 + c + -2x + -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 6x = -14 + c + -2x + 0 6x = -14 + c + -2x Solving 6x = -14 + c + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 6x + 2x = -14 + c + -2x + 2x Combine like terms: 6x + 2x = 8x 8x = -14 + c + -2x + 2x Combine like terms: -2x + 2x = 0 8x = -14 + c + 0 8x = -14 + c Divide each side by '8'. x = -1.75 + 0.125c Simplifying x = -1.75 + 0.125c
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